Question

What is the equation of this graphed line?

Enter your answer in slope-intercept form in the box.

Answer 1

let's start by simply using two points from the line hmmmmm wait a second, low and behold, there are two there already labeled, so, let's use those ones then,





`\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-7=-\cfrac{9}{8}(x-0)\implies y-7=-\cfrac{9}{8}x \\\\\\ y=-\cfrac{9}{8}x+7`

Answer 2

`y=-(9)/(8)x+7`

Explanation:

we know that

The equation of the line into slope intercept form is equal to

`y=mx+b`

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem we have

`b=7` ------> because the point
`(0,7)` is the y-intercept

point
`(8,-2)`

substitute the value of x , y and b in the equation to solve for m

`y=mx+b`------>
`-2=m(8)+7`

`m(8)=-2-7`

`m=-9/8`

therefore

the equation is equal to

`y=-(9)/(8)x+7`